Length of a rectangle is 3m less than four times its breadth. If the perimeter of the rectangle is 94 m, find its length and breadth.
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Answer:
The length is 37m, and the breadth is 10m.
Step-by-step explanation:
We would start with the simple formula P=2(l+b)
Then, as we know l=4b−3 , we can plug that in to make P=2(5b−3)
Now we know the value of the perimeter, P=94 , so we can plug that in
94=2(5b−3)
=> 47=5b−3
=> 50=5b
=> b = 10
So now we know that the breadth is 10m, we can plug that into l=4b−3 to get:
l=4(10)−3
=> l=40−3
=> l=37
The length is 37m, and the breadth is 10m.
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